Search a number
-
+
254344328028 = 223272612363707
BaseRepresentation
bin1110110011100000011…
…0100111001101011100
3220022111200201120211100
43230320012213031130
513131344121444103
6312502201353100
724242614055100
oct3547006471534
9808450646740
10254344328028
119895981919a
1241363498790
131aca512bbab
14c44b797900
1569394075a3
hex3b381a735c

254344328028 has 108 divisors (see below), whose sum is σ = 760154310552. Its totient is φ = 71478469440.

The previous prime is 254344328027. The next prime is 254344328057. The reversal of 254344328028 is 820823443452.

254344328028 is a `hidden beast` number, since 2 + 5 + 4 + 344 + 3 + 280 + 28 = 666.

254344328028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254344328027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1074250 + ... + 1289457.

Almost surely, 2254344328028 is an apocalyptic number.

254344328028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

254344328028 is an abundant number, since it is smaller than the sum of its proper divisors (505809982524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

254344328028 is a wasteful number, since it uses less digits than its factorization.

254344328028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363792 (or 2363780 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 254344328028 in words is "two hundred fifty-four billion, three hundred forty-four million, three hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 122 126 147 183 196 244 252 294 366 427 441 549 588 732 854 882 1098 1281 1708 1764 2196 2562 2989 3843 5124 5978 7686 8967 11956 15372 17934 26901 35868 53802 107604 2363707 4727414 7091121 9454828 14182242 16545949 21273363 28364484 33091898 42546726 49637847 66183796 85093452 99275694 115821643 144186127 148913541 198551388 231643286 288372254 297827082 347464929 432558381 463286572 576744508 595654164 694929858 865116762 1009302889 1042394787 1297675143 1389859716 1730233524 2018605778 2084789574 2595350286 3027908667 4037211556 4169579148 5190700572 6055817334 7065120223 9083726001 12111634668 14130240446 18167452002 21195360669 28260480892 36334904004 42390721338 63586082007 84781442676 127172164014 254344328028